Show that log3 9 + log3 3 = log5 125

Question

KnowledgeBoat · Accepted Answer

Given: log3 9 + log3 3 = log5 125 Taking L.H.S: = log3 9 + log3 3 = log + log = log + log = 2log + log = 2 x 1 + 1 = 2 + 1 = 3 Taking R.H.S.: = log5 125 = log = log = 3log = 3 x 1 = 3 Thus, L.H.S. = R.H.S. Hence, log3 9 + log3 3 = log5 125.

Mathematics

Show that log₃ 9 + log₃ 3 = log₅ 125

Logarithms

Related Questions

Solve for m :
15²⁷ ÷ 15² = 15^-2 x 15^{5m + 2}

Express as a single logarithm and simplify :
3 log 5 - log 50 + 2 log 2 + 1

Solve for x :
log_√3(x + 1) = 2

Mathematics

Show that log3 9 + log3 3 = log5 125

Logarithms

Related Questions

Solve for m :1527 ÷ 152 = 15-2 x 155m + 2

Express as a single logarithm and simplify :3 log 5 - log 50 + 2 log 2 + 1

Solve for x :log√3(x + 1) = 2

Show that log₃ 9 + log₃ 3 = log₅ 125

Solve for m :
15²⁷ ÷ 15² = 15^-2 x 15^{5m + 2}

Express as a single logarithm and simplify :
3 log 5 - log 50 + 2 log 2 + 1

Solve for x :
log_√3(x + 1) = 2